Advertisements
Advertisements
प्रश्न
State for any acute angle θ whether sin θ increases or decreases as θ increases
पर्याय
Increases
Decreases
Advertisements
उत्तर
For acute angles, remember what sine means: opposite over hypotenuse. If we increase the angle, then the opposite side gets larger. That means "opposite/hypotenuse" gets larger or increases.
APPEARS IN
संबंधित प्रश्न
If 4 cos2 x = 3 and x is an acute angle;
find the value of :
(i) x
(ii) cos2 x + cot2 x
(iii) cos 3x (iv) sin 2x
If `sqrt(2) = 1.414 and sqrt(3) = 1.732`, find the value of the following correct to two decimal places tan60°
If θ = 30°, verify that: tan2θ = `(2tanθ)/(1 - tan^2θ)`
Evaluate the following: cosec 54° - sec 36°
Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: sin53° + sec66° - sin50°
Evaluate the following: sin35° sin45° sec55° sec45°
Evaluate the following: `(sin0° sin35° sin55° sin75°)/(cos22° cos64° cos58° cos90°)`
Evaluate the following: `(5cot5° cot15° cot25° cot35° cot45°)/(7tan45° tan55° tan65° tan75° tan85°) + (2"cosec"12° "cosec"24° cos78° cos66°)/(7sin14° sin23° sec76° sec67°)`
If P, Q and R are the interior angles of ΔPQR, prove that `cot(("Q" + "R")/2) = tan "P"/(2)`
Prove the following: sin58° sec32° + cos58° cosec32° = 2
